Brunnian Links

These are nontrivial links that become trivial if any
number of components are removed.
Below are examples of Brunnian links with
three, four, and six components.
Note that except for the four component
link, these links are not in their minimal projection.
The three component link (when in a minimal projection)
is also known as the Borromean Rings.
The six component link was
constructed and relaxed using KnotPlot.

Oblique view

Top view

Side view

Check out the animation
of this link falling apart when the
one component is removed
(note: the colours are slightly different in the animation):